Question

Given m∠8 = 123° and m∠11 = 79°, find the measure of each missing angle.

Answer 1

Picture of question is in the attachment below :

Answer:

m∠1= 157°

m∠2= 23°

m∠3= 157°

m∠4= 23°

m∠5= 157°

m∠6= 23°

m∠7= 157°

Step-by-step explanation:

Given that:

m∠8 = 23°

m∠6= 23 ; m∠8 = m∠6 (vertically opposite angles)

m∠5 = m∠7 ( vertically opposite angles)

m∠5 + m∠6 + m∠7 + m∠8 = 360° (sum of angles at a point)

x + 23 + x + 23 = 360

46 + 2x = 360

2x = 360 - 46

2x = 314

x = 314 / 2

x = 157

Hence,

m∠5 = m∠7 = 157°

m∠1 = m∠5 = 157° corresponding angles

m∠4 = m∠8 = 23° corresponding angles

m∠3 = m∠7 = 157° corresponding angles

m∠6 = m∠2 = 23° corresponding angles